Pattern densities in fluid dimer models

Abstract

In this paper, we introduce a family of observables for the dimer model on a bi-periodic bipartite planar graph, called pattern density fields. We study the scaling limit of these objects for liquid and gaseous Gibbs measures of the dimer model, and prove that they converge to a linear combination of a derivative of the Gaussian massless free field and an independent white noise.

38 pages, 3 figures

References in corpus (1)

• An introduction to the dimer model

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• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model